Hi!
I would like to know through someone opinion if I am wrong about my supposition. May and Might are auxiliar verbs. So, "might" is the past tense of "may". Then, if I say: "He might have died in the accident" I 'm talking about a fact occurring sometime in the past, which indicates I don't get any doubt he is alive. But if I say " He may have died in the accident". I am refering a present doubt that I get about. So, I don't know if he is alive or dead yet.